MATHEMATICS · Subjective · CBSE · Mathematics · Heron's Formula · Heron's Formula
Problem
A triangle has side lengths 17cm, 25cm, and 28cm.
(i) Calculate the area of the triangle.
(ii) Using your answer from part (i), determine the altitude corresponding to the side of length 25cm.
(iii) A second triangle has the same base 25cm but an altitude that is 2cm greater than the altitude found in part (ii). Find the area of this second triangle and state, correct to one decimal place, by what percentage its area exceeds the area of the first triangle.